Marc can run 2 miles in 16 minutes. At this rate, how long will it take Marc to run 5 miles?
Understand the Problem
The question asks us to determine how long it will take Marc to run 5 miles, given that he can run 2 miles in 16 minutes. We need to use the given rate to calculate the time it takes for him to run 5 miles.
Answer
40 minutes
Answer for screen readers
It will take Marc 40 minutes to run 5 miles.
Steps to Solve
- Find Marc's pace per mile
To find out how long it takes Marc to run one mile, divide the time it takes him to run 2 miles by 2.
$$ \frac{16 \text{ minutes}}{2 \text{ miles}} = 8 \text{ minutes per mile} $$
- Calculate the time to run 5 miles
Multiply Marc's pace per mile by the total number of miles (5) to find the total time.
$$ 8 \text{ minutes per mile} \times 5 \text{ miles} = 40 \text{ minutes} $$
It will take Marc 40 minutes to run 5 miles.
More Information
This problem uses the concept of rates to determine how long it would take to travel a certain distance.
Tips
A common mistake is to incorrectly set up the proportion or to multiply instead of divide in the first step. Another common mistake is to forget to include the units in the final answer or to provide the answer in the wrong units (e.g., seconds instead of minutes).
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